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4 years ago

Last week, Ida bought 8 cartons of raspberries for $7. How many cartons of raspberries can Ida

Mathematics

1 answer:

lyudmila [28]4 years ago

6 0

Answer:

24 cartons

Step-by-step explanation:

8c=7

7/8=0.875

21/0.875=24

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ABCD diagonals intersect at E. If m∠BAC=4x+5 and m∠CAD=5x-14, then find m∠CAD.

Travka [436]

Answer: m∠CAD = 81°

Step-by-step explanation: <u>Diagonal</u> is a line that unites opposite sides.

ABCD is a prallelogram. One property of diagonal in a parallelogram is it separates the parallelogram in 2 congruent triangles.

The figure below shows ABCD with its diagonals.

Since diagonal divides a parallelogram in 2 congruent triangles, it means the internal angles are also congruent. So

m∠BAC = m∠CAD

4x + 5 = 5x - 14

x = 19

Then, m∠CAD is

m∠CAD = 5(19) - 14

m∠CAD = 81

The angle m∠CAD is 81°.

7 0

3 years ago

Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side

gizmo_the_mogwai [7]

Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is $V=\dfrac{3}{4}\ yd^3$

Length of the cubic block is $a=\dfrac{1}{2}\ yd$

Volume of each cubic block is

$\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3$

Suppose, n blocks are required to measure the volume of Prism

$\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}$

Thus, 6 blocks are required to measure the volume of prism.

7 0

3 years ago

I need help with this because ima fail

Studentka2010 [4]

Answer:-αx-20=-14 --> $\frac{-6}{x}$

4= $\frac{6}{a}$ ×+5 --> a=-6

7+2ax=13---> a= $\frac{3}{x}$

Step-by-step explanation:

5 0

3 years ago

Fraction Problem, need help

igor_vitrenko [27]

The answer is the 1st one

8 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEsT

Semmy [17]

n + 4 = 3..............

6 0

3 years ago